Cambridge GCSE Maths revision

Topic 1: Number

There are 12 parts: we start with factors, multiples, primes, HCF and LCM, and finish with set notation and Venn diagrams.

1. 1.1Factors, multiples, primes, HCF and LCM68 questions
2. 1.2Calculations, fractions and percentagesFree 55 questions
3. 1.3Indices, surds and standard form17 questions
4. 1.4Recurring decimals and converting to fractions54 questions
5. 1.5Rounding, significant figures and estimation54 questions
6. 1.6Error intervals and upper and lower bounds47 questions
7. 1.7Ratio and proportionFree 57 questions
8. 1.8Compound measures and rates68 questions
9. 1.9Units and conversions (metric, imperial, time and currency)62 questions
10. 1.10Reverse percentages and percentage change52 questions
11. 1.11Compound interest, growth and decay47 questions
12. 1.12Set notation and Venn diagrams58 questions

Topic 2: Algebra and graphs

There are 17 parts: we start with expressions, equations and inequalities, and finish with functions.

1. 2.1Expressions, equations and inequalitiesFree 33 questions
2. 2.2Algebraic fractions and rearranging formulae29 questions
3. 2.3Factorising quadratics and the difference of two squaresFree 13 questions
4. 2.4Solving quadratic equations by factorising and the formula30 questions
5. 2.5Completing the square and turning points49 questions
6. 2.6Quadratic inequalities16 questions
7. 2.7Graphs, sequences and simultaneous equations45 questions
8. 2.8Simultaneous equations with a quadratic (linear and non-linear)28 questions
9. 2.9Graphical inequalities and regions31 questions
10. 2.10Quadratic, geometric and special sequences (nth term)50 questions
11. 2.11Direct and inverse proportion with graphs47 questions
12. 2.12Proportionality equations (y ∝ x², y ∝ 1/x, y ∝ x³)38 questions
13. 2.13Quadratic, cubic and reciprocal graphs21 questions
14. 2.14Gradients of curves and areas under graphs29 questions
15. 2.15Real-life graphs: distance-time and velocity-time64 questions
16. 2.16Solving equations graphically34 questions
17. 2.17Functions: notation, composite and inverse functions27 questions

Topic 3: Coordinate geometry

We will go through it step by step.

1. 3.1Equations of straight lines, parallel and perpendicular linesFree 24 questions

Topic 4: Geometry

There are 4 parts: we start with constructions and loci, and finish with circle theorems.

1. 4.1Constructions and loci68 questions
2. 4.2Angles, shapes and PythagorasFree 54 questions
3. 4.3Congruence and similarity60 questions
4. 4.4Circle theorems65 questions

Topic 5: Mensuration

We will go through it step by step.

1. 5.1Trigonometry, area and volume69 questions

Topic 6: Trigonometry

There are 2 parts: we start with bearings and scale drawings, and finish with exponential and trigonometric graphs.

1. 6.1Bearings and scale drawings61 questions
2. 6.2Exponential and trigonometric graphs57 questions

Topic 7: Transformations and vectors

There are 2 parts: we start with transformations, and finish with vectors and vector geometry.

1. 7.1Transformations: translation, reflection, rotation and enlargement59 questions
2. 7.2Vectors and vector geometry53 questions

Topic 8: Probability

There are 3 parts: we start with probability and diagrams, and finish with conditional probability and dependent events.

1. 8.1Probability and diagramsFree 68 questions
2. 8.2Relative frequency and expected outcomes66 questions
3. 8.3Conditional probability and dependent events64 questions

Topic 9: Statistics

There are 5 parts: we start with averages and data representation, and finish with comparing distributions and misleading statistics.

1. 9.1Averages and data representationFree 70 questions
2. 9.2Scatter graphs, correlation and lines of best fit70 questions
3. 9.3Cumulative frequency, quartiles and box plots66 questions
4. 9.4Histograms and frequency density59 questions
5. 9.5Comparing distributions and misleading statistics70 questions

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